113200020002311 has 12 divisors (see below), whose sum is σ = 124426887318216. Its totient is φ = 102908762509520.

The previous prime is 113200020002261. The next prime is 113200020002327.

113200020002311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113200020002311 - 2¹⁹ = 113200019478023 is a prime.

It is a super-2 number, since 2×113200020002311² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113200020002711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38748405 + ... + 41567281.

It is an arithmetic number, because the mean of its divisors is an integer number (10368907276518).

Almost surely, 2^{113200020002311} is an apocalyptic number.

113200020002311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113200020002311 is a deficient number, since it is larger than the sum of its proper divisors (11226867315905).

113200020002311 is a wasteful number, since it uses less digits than its factorization.

113200020002311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150782 (or 3150771 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 113200020002311 in words is "one hundred thirteen trillion, two hundred billion, twenty million, two thousand, three hundred eleven".